Question: Suppose that M is an m x m matrix with entries Mij 0 such that M = 1 for each of the columns j

Suppose that M is an m x m matrix with entries Mij

Suppose that M is an m x m matrix with entries Mij 0 such that M = 1 for each of the columns j = 1,..., m. Show that 1 is an eigenvalue of Mk for any k N.

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